Activity
Cool Math

Coolmath: Graphing Polynomials Important Rules About Zeros

For Students 6th - 8th
This algebra lesson explains some important rules about zeros (where graphs touch or cross the x-axis).
Activity
Cool Math

Coolmath: Graphing Polynomials Absolute Maximums and Minimums

For Students 7th - 9th Standards
This algebra lesson explains how to find the absolute maximums and minimums (extrema) of a polynomial.
Activity
Cool Math

Coolmath: Graphing Polynomials Increasing and Decreasing

For Students 7th - 9th Standards
This algebra lesson explains how to find where a polynomial is increasing, decreasing or neither.
Activity
Cool Math

Coolmath: Graphing Polynomials Maximums and Minimums

For Students 6th - 8th
Find out how to find relative minimums and maximums of the typical polynomial.
Activity
Curated OER

Polynomial Functions of the First Degree

For Students 9th - 10th Standards
A java applet that lets you graph a first degree polynomial and see how changing the coefficients changes the graph.
Unit Plan
Khan Academy

Khan Academy: Positive & Negative Intervals of Polynomials

For Students 9th - 10th
Given a polynomial, determine the intervals at which it is positive or negative. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Polynomial Function Limits

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Finding the limits of polynomial functions using theorems and operations on limits
Handout
Purple Math

Purplemath: Graphing Overview: Straight Lines

For Students 9th - 10th Standards
This resource provides an overview of graphing for various types of functions, instruction on graphing straight lines and also, includes advice on common mistakes made by students.
Handout
Richland Community College

Richland Community College: Steps to Graphing Rational Functions

For Students 9th - 10th Standards
This site describes the steps to follow when graphing a rational function.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Graphing Cube Root Functions

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers graphing cubed root functions. Students examine guided notes, review guided practice and attempt practice problems.
Interactive
Curated OER

Zona Land Education: Polynomial Function Graphs

For Students 9th - 10th Standards
Use the applets to look at several polynomial function graphs and how their characteristics change.
Activity
Interactive Mathematics

Interactive Mathematics: Polynomial Functions and Equations

For Students 9th - 10th Standards
Want to find the roots of a polynomial function? Learn how, using several methods in this tutorial. Graphing and Scientific Notebook are used on the main page. Click on the "Dinosaur Method" link at the bottom of the page to see the...
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Graphs of Polynomial Functions

For Students 9th - 10th Standards
Using this tutorial, you'll learn how to identify a polynomial function, use the leading coefficient test, find the zeros of a function, and complete other tasks related to polynomial functions.
Unit Plan
Oswego City School District

Regents Exam Prep Center: Polynomial Equations of a Higher Degree

For Students 10th - 12th
The lesson discusses solving and graphing polynomial equations of higher degree. The resource consists of class notes, calculator tips, examples, and practice problems with solutions. The teacher resource includes an activity that...
Activity
Texas Instruments

Texas Instruments: Taylor Polynomials

For Teachers 9th - 10th
Students learn to define a Taylor polynomial approximation to a function f of degree n about a point x = a. They also learn to graph convergence of Taylor polynomials. They use Taylor polynomials to approximate function values.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Graphs of Power Functions

For Teachers 9th - 10th Standards
In this task, students are asked to sketch and label the graphs of different (positive) powers of x. Aligns with F-IF.C.7.c.
Handout
Purple Math

Purplemath: Solving Polynomials: How To

For Students 9th - 10th Standards
Demonstrates the steps involved in solving a general polynomial, including how to use the Rational Roots Test and synthetic division. Points out when using a graphing calculator can be very helpful.
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: Intermediate Algebra

For Students 9th - 10th
This site is a tutorial for students in algebra 2 or for those who need a refresher. The site has explanations, definitions, examples, practice problems and practice tests are found covering topics such as linear equations, graphing,...
Activity
American Association of Physics Teachers

Com Padre Digital Library: Open Source Physics: Special Functions Model

For Teachers 9th - 10th
This downloadable java simulation shows a variety of special functions. Functions included are Legendre polynomials, Chebyshev polynomials, and Bessel functions.
Activity
University of Vienna (Austria)

Math Online: Functions

For Students 9th - 10th Standards
This interactive site uses applets to show sample graphs of each simple power function, a function plotter, graph puzzles, and more. Great site.
Graphic
William Mueller

William Mueller: Families of Functions

For Students 9th - 10th Standards
Meet the Function Family! Each member of the family has examples of their graphs and descriptions of the types of real-world situation that produce those graphs.
Unknown Type
University of Saskatchewan (Canada)

University of Saskatchewan: Algebra 2 Review

For Students 9th - 10th
A more advanced review of Algebra II concepts allows students to test their readiness for higher level math courses. Topics range from absolute value to rational expressions.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Graphs of Quadratic Functions

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Students review of quadratic function graphing methods. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Polynomial Approximations [Pdf]

For Students 9th - 10th
The exercise explores first-, second-, and third-degree polynomial approximations. Students label the graphs of the polynomial approximations. The handout is available in PDF format.

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